Mathematics Objective Questions and Answers: Chapter 06 The Triangle and its Properties
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Question. Isosceles triangle PQR is symmetrical about axis m. What is the measure of angle XPR?
a. 35°
b. 55°
c. 70°
d. 77.5°
Answer: B
Question. For which of the following triangles will the sum of the three angles be the greatest?
a. Obtuse-angled isosceles
b. Equilateral
c. Right-angled isosceles
d. It will be the same for all.
Answer: D
Question. (Figure not to scale)
In this figure, Angle B = 6x and & Angle C = 5x; Angle A is 200 more than angle C.
Which is the largest angle of the triangle and what is its degree measure?
a. Angle A, 75°
b. Angle B, 60°
c. Angle A, 70°
d. Angle B, 60°
Answer: C
Question. In the figure, how many triangles (of any size) are there which have exactly ONE cross inside?
a. 4
b. 7
c. 9
d. 10
Answer: D
Question. In the figure below, the base of the triangle is extended on both sides. Which of these can we NOT say with certainty?
a. a + b + c = 180°
b. b + d = 180°
c. c + e = 180°
d. d + e = 180°
Answer: D
Question. Which is the longest side of triangle ABC right angled at A
a).AC
b. BC
c. AB
d. None of these
Answer: B
Question. One of the angles of a triangle is 74 and the other two angles are equal. Find the measure of each of the equal angles
a. 58°
b. 100°
c. 53°
d. 116°
Answer: C
Question. Which of the following can be the sides of a right triangle.
a. 4cm, 5cm, 6cm
b. 2.5cm, 6cm, 1.5cm.
c. 1.5cm, 2cm, 2.5cm
d. 5cm, 6cm, 7cm
Answer: C
Question. One of the exterior angles of a triangle is 72°and its interior opposite angles are in the ratio 4:5. The angles of the triangle are.
a. 32°, 40°
b. 30°, 42°
c. 28°, 44°
d. 50°, 22°
Answer: A
Question. The perpendicular line segment from a vertex of a triangle to its opposite side is called
a. Median
b. diagonal
c. Base
d. Altitude
Answer: D
Question. XYZ is a triangle right angled at ‘Y’. If XZ = 25cm, YZ = 7cm, XY is
a. 38cm
b. 26cm
c. 23cm
d. 24cm
Answer: D
Question. Angle A and B of a triangle ABC are 35°and 55°. Write which of the following is true
a. AB2+ BC2 = AC2
b. AC2 + BC2 = AB2
c. AB + AC2 = BC2
d. None of these
Answer: B
Question. In a triangle ABC, if
a. 50°, 60°, 70°
b. 40°, 60°, 80°
c. 45°, 45°, 90°
d. 30°, 60°, 90°
Question. Two angles of a triangle are in the ratio ( 2/3 : 3/2 ) and the third angle is 50°, then two angles are
a.40°, 90°
b. 45° , 85°
c. 30° , 100°
d. 35°, 95°
Question. If an exterior angle of a triangle is 108° and one of the interior opposite angle is 38°. The other interior opposite angle is
a. 138°
b. 70°
c. 60°
d. 80°
Question. The three angles of a triangle are in the ratio 2 : 3 : 4, then the measure of three angle are
a. 20°, 60°, 100°
b. 40°, 60°, 80°
c. 40°, 50°, 90°
d. 50°, 60°, 70°
Question. Which one is possible to have a triangle from the following measures
a. 6cm, 3cm, 2cm
b. 5.5cm, 2.5cm, 2.5cm
c. 3cm, 6cm, 7cm
d. 2cm, 8cm, 3cm
Question. An exterior angle of a triangle is
a. Equal to adjacent angle
b. Greater than each one of its interior opposite angle
c. less than its adjacent angle
d. equal to the sum of the two interior opposite angles
Question. The two interior opposite of an exterior angle of a triangle is 45°& 63°,then the measure of exterior angle is
a. 100°
b. 80°
c. 63°
d. 108°
Question. The exterior angle PRS of triangle PQR is 100o. If °,
b. 150°
c. 80°
d. 130°
Question. Find ‘y’, from the figure
a. 50o
b. 25o
c. 75o
d. 100o
Answer: A
Question. Find the measure of ‘ t ’ from the figure
a. 90o
b. 60o
c. 40o
d. 450
Answer: D
Question: Which of the following triangles is possible with the given three sides
a) AB = 20cm, BC = 5cm and AC = 7cm
b) AB = 11cm, BC = 5cm and AC = 6cm
c) AB = 6cm BC = 2cm and AC = 5cm
d) AB = 8cm, BC = 3cm and AC = 4cm
Answer: AB = 20cm, BC = 5cm and AC = 7cm
Question: Which of the following is correct
a) An equiangular triangle is also an equilateral triangle
b) An exterior angle is equal to the sum of any two opposite interior angles
c) The sum of the lengths of any two sides of a triangle is smaller than the length of the third side.
d) A triangle has 5 elements
Answer: An equiangular triangle is also an equilateral triangle
Question: Which of the following triangles is possible with the given interior angles?
a) 460, 840, 500
b) 300, 440, 800
c) 360, 460, 800
Answer: 460, 840, 500
Question: If the angle of a triangle are in the ratio 3:4:5, then the angles of the given triangles are
a) 450, 600, 750
b) 750, 300, 750
c) 550, 500, 750
d) 750, 500, 550
Answer: 450, 600, 750
Question: Which of the following is correct
a) An isosceles triangle can be a right triangle
b) A right triangle cannot be a scalene triangle
c) A right triangle can be an equilateral triangle
d) An obtuse triangle cannot be an isosceles triangle
Answer: An isosceles triangle can be a right triangle
Question: In an equilateral triangle each angle is of
a) 600
b) 900
c) 300
Answer: 600
Question: A triangle has one right angle. What could be the measure of the other two angles?
a) 200 and 700
b) 300 and 700
c) 600 and 200
d) 300 and 150
Answer: 200 and 700
Question: A triangle cannot have more than
a) one right angle
b) two obtuse angle
c) one acute angle
Answer: one right angle
Question: If two acute angles of a right triangle are equal then the two angles are of
a) 450 each
b) 400 each
c) 500 each
Answer: 450 each
Question: If two angles of the triangle are 200, 800, then the third angle is of
a) 800
b) 1000
c) 900
Answer: 800
Question: If two angles of the triangle are 430, 650 then the third angle is of
a) 720
b) 820
c) 620
Answer: 720
Question: A scalene triangle cannot be
a) equilateral triangle
b) an obtuse angled triangle
c) an acute angled triangle
d) a right angled triangle
Answer: equilateral triangle
Question: An obtuse angled triangle can be
a) isosceles
b) none of these
c) right angled
d) equilateral
Answer: isosceles
Question: If the sum of two angles is an obtuse angle, then which of the following is not possible?
a) one obtuse angle and one acute angle
b) two right angles
c) one right angle and one acute angle
d) two acute angle
Answer: one obtuse angle and one acute angle
Question: If the sum of two angles is greater than 1800, then which of the following is not possible?
a) tow obtuse angles
b) two right angles
c) one reflex and one acute angle
d) one obtuse and one acute angle
Answer: tow obtuse angles
Question: Which of the following is correct
a) An equiangular triangle is also an equilateral triangle
b) An exterior angle is equal to the sum of any two opposite interior angles.
c) Both
d) None of these
Answer: An equiangular triangle is also an equilateral triangle
Question. How many altitudes can a triangle have ?
(a) one
(b) two
(c) three
(d)four
Question. The exterior angle of a triangle is 120° & one of its interior opposite angles is 70° .Find the measure of its other interior opposite angle ?
(a) 90°
(b) 50°
(c) 60°
(d) 100°
Question. The angles of a triangle are in the ratio 2:3:5 . What is the largest angle of the triangle?
(a) 54°
(b) 36°
(c) 90°
(d) 100°
Question. Δ ABC is right-angled at C. If AC = 5cm & BC = 12 cm , what is the length of AB ?
(a) 7cm
(b) 17 cm
(c) 13cm
(d) 20cm
Question. What is the perimeter of the rectangle whose length is 40cm & a diagonal is 41cm?
(a) 164cm
(b) 162 cm
(c) 81cm
(d) 98cm
Question. Among two congruent angles, one has a measure of 700. What is the measure of the other angle?
(a) 140°
(b) 35°
(c) 70°
(d) 110°
Question. Δ ABC ≡ ΔDEF. If AB = 7cm, what is the length of DE ?
(a) 14cm
(b) 16 cm
(c) 7cm
(d) 18cm
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FAQs
You can get most exhaustive CBSE Class 7 Mathematics Triangle and its Properties MCQs for free on StudiesToday.com. These MCQs for Class 7 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.
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By solving our CBSE Class 7 Mathematics Triangle and its Properties MCQs, Class 7 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
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